145818816 has 224 divisors, whose sum is σ = 467002368. Its totient is φ = 39567360.

The previous prime is 145818811. The next prime is 145818821. The reversal of 145818816 is 618818541.

It is an interprime number because it is at equal distance from previous prime (145818811) and next prime (145818821).

It is not an unprimeable number, because it can be changed into a prime (145818811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290376 + ... + 1290488.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^145818816 is an apocalyptic number.

145818816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

145818816 is an abundant number, since it is smaller than the sum of its proper divisors (321183552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145818816 is a wasteful number, since it uses less digits than its factorization.

145818816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 61440, while the sum is 42.

The square root of 145818816 is about 12075.5461988268. The cubic root of 145818816 is about 526.3458331874.

The spelling of 145818816 in words is "one hundred forty-five million, eight hundred eighteen thousand, eight hundred sixteen".